Question

skylers garden is shown in the image below. what is the area of skylers garden?
4 yd
3 yd
7 yd
10 yd
the area of skylers garden is
square yd.

Explanation:

Step1: Area of the rectangle

The top part is a rectangle with length \( 4 \) yd and height \( 3 \) yd. The area of a rectangle is \( \text{length} \times \text{height} \), so \( 4 \times 3 = 12 \) square yd.

Step2: Area of the trapezoid

The bottom part is a trapezoid. The height of the trapezoid is \( 7 - 3 = 4 \) yd. The two bases of the trapezoid are \( 4 \) yd and \( 10 \) yd. The area of a trapezoid is \( \frac{(b_1 + b_2)}{2} \times h \), so \( \frac{(4 + 10)}{2} \times 4 = \frac{14}{2} \times 4 = 7 \times 4 = 28 \) square yd.

Step3: Total area

Add the area of the rectangle and the trapezoid: \( 12 + 28 = 40 \) square yd.

Answer:

40